28.
\(\Leftrightarrow2x+1=x-1\)
\(\Leftrightarrow x=-2\)
29.
\(\Leftrightarrow x^3-2x^2-3x^2+6x=0\)
\(\Leftrightarrow x^2\left(x-2\right)-3x\left(x-2\right)=0\)
\(\Leftrightarrow\left(x-2\right)\left(x^2-3x\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-2=0\\x^2-3x=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2\\x\left(x-3\right)=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=0\\x=3\end{matrix}\right.\)
30.\(\Leftrightarrow3x^2+3x+2x+2=0\)
\(\Leftrightarrow3x\left(x+1\right)+2\left(x+1\right)=0\)
\(\Leftrightarrow\left(x+1\right)\left(3x+2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+1=0\\3x+2=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=-\dfrac{2}{3}\end{matrix}\right.\)
\(28,\\ \Leftrightarrow\left[{}\begin{matrix}2x+1=x-1\\2x+1=-x+1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-2\\3x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=0\end{matrix}\right.\\ 29,\\ \Leftrightarrow x\left(x^2-5x+6\right)=0\\ \Leftrightarrow x\left(x^2-2x-3x+6\right)=0\\ \Leftrightarrow x\left[x\left(x-2\right)-3\left(x-2\right)\right]=0\\ \Leftrightarrow x\left(x-2\right)\left(x-3\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=0\\x=2\\x=3\end{matrix}\right.\)
\(30,\\ \Leftrightarrow3x^2+3x+2x+2=0\\ \Leftrightarrow3x\left(x+1\right)+2\left(x+1\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}3x+2=0\\x+1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{-2}{3}\\x=-1\end{matrix}\right.\)
